Chapter 1 Algebra Manipulations 1
Chapter 2 Radicals 7
Chapter 3 Solving Radical Equations 22
Chapter 4 Absolute Values 32
Chapter 5 Solving Absolute Value Equations 42
Chapter 6 Vieta Theorem and Applications 50
Chapter 7 Square Numbers 57
Chapter 8 Divisibility 64
Chapter 9 Geometry Congruent Triangles 78
Chapter 10 Geometry Area and Area Method 91
Chapter 11 Geometry Eight Methods To Draw Auxiliary Lines 107
Chapter 12 Trigonometry Six Functions 119
Chapter 13 Cubic Identities 127
Chapter 14 Arithmetic Sequence 132
Chapter 15 How to Use the Discriminant 143
Chapter 16 Completing the Square 150
Chapter 17 Analytic Geometry Distance and Lines 157
Chapter 18 Functional Equations 165
Chapter 19 Squeezing Method 171
Chapter 20 Nonnegative Numbers 177
Chapter 21 Geometry Similar Triangles 183
Chapter 22 Geometry Angle Bisector And Median 191
Chapter 23 Geometry Eight More Methods To Draw Auxiliary Lines 197
Chapter 24 Trigonometry Identities 205
Chapter 25 AM-GM Inequality 211
Index 249
